A note on matrix model with IR cutoff and AdS/CFT

TL;DR

This paper introduces an effective model for strongly coupled gauge theories at finite temperature with an IR cutoff, capturing key features expected from gravity duals by considering the theory on a large sphere with fixed cutoff.

Contribution

It proposes a new effective model for gauge theories with IR cutoff that aligns with gravity dual predictions, extending previous approaches.

Findings

Model reproduces qualitative features of gravity duals

Effective description captures IR cutoff effects

Framework applicable to finite temperature gauge theories

Abstract

We propose an effective model of strongly coupled gauge theory at finite temperature on $R^3$ in the presence of an infrared cutoff. It is constructed by considering the theory on $S^3$ with an infrared cutoff and then taking the size of the $S^3$ to infinity while keeping the cutoff fixed. This model reproduces various qualitative features expected from its gravity dual.